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73872342 = 23219613541
BaseRepresentation
bin1000110011100…
…11001111010110
312011000002210200
410121303033112
5122402403332
611155201330
71554622155
oct431631726
9164002720
1073872342
1138776425
12208a6246
13123c625b
149b4d59c
15674317c
hex46733d6

73872342 has 48 divisors (see below), whose sum is σ = 171291120. Its totient is φ = 22939200.

The previous prime is 73872319. The next prime is 73872373. The reversal of 73872342 is 24327837.

It is a junction number, because it is equal to n+sod(n) for n = 73872297 and 73872306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19092 + ... + 22632.

It is an arithmetic number, because the mean of its divisors is an integer number (3568565).

Almost surely, 273872342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73872342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85645560).

73872342 is an abundant number, since it is smaller than the sum of its proper divisors (97418778).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

73872342 is a wasteful number, since it uses less digits than its factorization.

73872342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3629 (or 3626 counting only the distinct ones).

The product of its digits is 56448, while the sum is 36.

The square root of 73872342 is about 8594.9020936832. The cubic root of 73872342 is about 419.5920869475.

The spelling of 73872342 in words is "seventy-three million, eight hundred seventy-two thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 18 19 38 57 61 114 122 171 183 342 366 549 1098 1159 2318 3477 3541 6954 7082 10431 10623 20862 21246 31869 63738 67279 134558 201837 216001 403674 432002 605511 648003 1211022 1296006 1944009 3888018 4104019 8208038 12312057 24624114 36936171 73872342